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A."],"published-print":{"date-parts":[[2016,5,13]]},"abstract":"<jats:p>\n            This work introduces a framework to study the network formed by the autonomic component of heart rate variability (cardiac process\n            <jats:italic>\u03b7<\/jats:italic>\n            ) and the amplitude of the different electroencephalographic waves (brain processes\n            <jats:italic>\u03b4<\/jats:italic>\n            ,\n            <jats:italic>\u03b8<\/jats:italic>\n            ,\n            <jats:italic>\u03b1<\/jats:italic>\n            ,\n            <jats:italic>\u03c3<\/jats:italic>\n            ,\n            <jats:italic>\u03b2<\/jats:italic>\n            ) during sleep. The framework exploits multivariate linear models to decompose the predictability of any given target process into measures of self-, causal and interaction predictability reflecting respectively the information retained in the process and related to its physiological complexity, the information transferred from the other source processes, and the information modified during the transfer according to redundant or synergistic interaction between the sources. The framework is here applied to the\n            <jats:italic>\u03b7<\/jats:italic>\n            ,\n            <jats:italic>\u03b4<\/jats:italic>\n            ,\n            <jats:italic>\u03b8<\/jats:italic>\n            ,\n            <jats:italic>\u03b1<\/jats:italic>\n            ,\n            <jats:italic>\u03c3<\/jats:italic>\n            ,\n            <jats:italic>\u03b2<\/jats:italic>\n            time series measured from the sleep recordings of eight severe sleep apnoea\u2013hypopnoea syndrome (SAHS) patients studied before and after long-term treatment with continuous positive airway pressure (CPAP) therapy, and 14 healthy controls. Results show that the full and self-predictability of\n            <jats:italic>\u03b7<\/jats:italic>\n            ,\n            <jats:italic>\u03b4<\/jats:italic>\n            and\n            <jats:italic>\u03b8<\/jats:italic>\n            decreased significantly in SAHS compared with controls, and were restored with CPAP for\n            <jats:italic>\u03b4<\/jats:italic>\n            and\n            <jats:italic>\u03b8<\/jats:italic>\n            but not for\n            <jats:italic>\u03b7<\/jats:italic>\n            . The causal predictability of\n            <jats:italic>\u03b7<\/jats:italic>\n            and\n            <jats:italic>\u03b4<\/jats:italic>\n            occurred through significantly redundant source interaction during healthy sleep, which was lost in SAHS and recovered after CPAP. These results indicate that predictability analysis is a viable tool to assess the modifications of complexity and causality of the cerebral and cardiac processes induced by sleep disorders, and to monitor the restoration of the neuroautonomic control of these processes during long-term treatment.\n          <\/jats:p>","DOI":"10.1098\/rsta.2015.0177","type":"journal-article","created":{"date-parts":[[2016,4,5]],"date-time":"2016-04-05T00:58:05Z","timestamp":1459817885000},"page":"20150177","update-policy":"https:\/\/doi.org\/10.1098\/crossmark-policy","source":"Crossref","is-referenced-by-count":40,"title":["Predictability decomposition detects the impairment of brain\u2013heart dynamical networks during sleep disorders and their recovery with treatment"],"prefix":"10.1098","volume":"374","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3271-5348","authenticated-orcid":false,"given":"Luca","family":"Faes","sequence":"first","affiliation":[{"name":"Biotech, Department of Industrial Engineering, University of Trento, Trento, Italy"},{"name":"IRCS Program, PAT-FBK Trento, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9803-0122","authenticated-orcid":false,"given":"Daniele","family":"Marinazzo","sequence":"additional","affiliation":[{"name":"Department of Data Analysis, University of Ghent, Ghent, Belgium"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Sebastiano","family":"Stramaglia","sequence":"additional","affiliation":[{"name":"Department of Physics, University of Bari, Bari, Italy"},{"name":"INFN Sezione di Bari, Bari, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Fabrice","family":"Jurysta","sequence":"additional","affiliation":[{"name":"Sleep Laboratory, Department of Psychiatry, ULB\u2014Erasme Academic Hospital, Brussels, Belgium"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6720-9824","authenticated-orcid":false,"given":"Alberto","family":"Porta","sequence":"additional","affiliation":[{"name":"Department of Biomedical Sciences for Health, University of Milan, Milan, Italy"},{"name":"Department of Cardiothoracic, Vascular Anesthesia and Intensive Care, IRCCS Policlinico San Donato, San Donato Milanese, Milan, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Nollo","family":"Giandomenico","sequence":"additional","affiliation":[{"name":"Biotech, Department of Industrial Engineering, University of Trento, Trento, Italy"},{"name":"IRCS Program, PAT-FBK Trento, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"175","published-online":{"date-parts":[[2016,5,13]]},"reference":[{"key":"e_1_3_6_2_2","doi-asserted-by":"publisher","DOI":"10.1038\/ncomms1705"},{"key":"e_1_3_6_3_2","doi-asserted-by":"publisher","DOI":"10.1111\/j.1542-474X.2005.10101.x"},{"key":"e_1_3_6_4_2","doi-asserted-by":"publisher","DOI":"10.1111\/j.1365-2869.1993.tb00065.x"},{"key":"e_1_3_6_5_2","doi-asserted-by":"publisher","DOI":"10.1056\/NEJM199302043280511"},{"key":"e_1_3_6_6_2","doi-asserted-by":"publisher","DOI":"10.1093\/sleep\/33.7.943"},{"key":"e_1_3_6_7_2","doi-asserted-by":"publisher","DOI":"10.1152\/ajpregu.00756.2007"},{"key":"e_1_3_6_8_2","doi-asserted-by":"publisher","DOI":"10.1161\/01.CIR.91.7.1918"},{"key":"e_1_3_6_9_2","doi-asserted-by":"publisher","DOI":"10.1093\/sleep\/15.4.352"},{"key":"e_1_3_6_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0987-7053(97)85664-X"},{"key":"e_1_3_6_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/S1388-2457(00)00470-3"},{"key":"e_1_3_6_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-3940(02)00661-4"},{"key":"e_1_3_6_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/S1388-2457(00)00247-9"},{"key":"e_1_3_6_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/S1388-2457(01)00507-7"},{"key":"e_1_3_6_15_2","doi-asserted-by":"publisher","DOI":"10.1046\/j.1440-1819.2003.01080.x"},{"key":"e_1_3_6_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/S1388-2457(03)00215-3"},{"key":"e_1_3_6_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.clinph.2004.04.007"},{"key":"e_1_3_6_18_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11517-010-0696-9"},{"key":"e_1_3_6_19_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.neulet.2009.09.031"},{"key":"e_1_3_6_20_2","first-page":"1","article-title":"Sleep electroencephalography and heart rate variability interdependence amongst healthy subjects and insomnia\/ schizophrenia patients","author":"Chaparro-Vargas R","year":"2015","journal-title":"Med. 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